Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose
Vacua of the gravitational field
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abstract
The Poincar\'e invariant vacuum is not unique in quantum gravity. The BMS supertranslation symmetry originally defined at null infinity is spontaneously broken and results in inequivalent Poincar\'e vacua. In this paper we construct the unique vacua which interpolate between past and future null infinity in BMS gauge and which are entirely characterized by an arbitary Goldstone boson defined on the sphere which breaks BMS invariance. We show that these vacua contain a defect which carries no Poincar\'e charges but which generically carries superrotation charges. We argue that there is a huge degeneracy of vacua with multiple defects. We also present the single defect vacua with its canonically conjugated source which can be constructed from a Liouville boson on the stereographic plane. We show that positivity of the energy forces the stress-tensor of the boson to vanish as a boundary condition. Finite superrotations, which turn on the sources, are therefore physically ruled out as canonical transformations around the vacua. Yet, infinitesimal superrotations are external symplectic symmetries which are associated with conserved charges which characterize the Goldstone boson.
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Soft-haired Kerr black holes show rotated, dilated, drifting images and an image memory effect when soft hair changes via waves, with the effect scaling with the large black hole's mass and spin.
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.
citing papers explorer
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Asymptotically-FLRW$_3$ spacetimes
Introduces asymptotically-FLRW3 spacetimes whose asymptotic symmetry group is the one-parameter family BMS3^k, fully characterizes the scalar-field solution space, identifies covariant mass/angular-momentum aspects and news via vacuum orbits, and exhibits exactly conserved non-linear Newman-Penrose
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Shaving off soft hairs and the black hole image memory effect
Soft-haired Kerr black holes show rotated, dilated, drifting images and an image memory effect when soft hair changes via waves, with the effect scaling with the large black hole's mass and spin.
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On symmetries of gravitational on-shell boundary action at null infinity
Fixing null-infinity boundary action ambiguities via 5-point amplitude constraints yields subleading soft theorems and proposes generalized Geroch-tensor Goldstone modes for sub^n-leading soft graviton insertions.